It appears from your post that you're using TurboTax Deluxe Desktop (CD/Download) platform.
If that's the case, you'd have been required to pay (currently $24.99) to e-file a state return. The Deluxe Desktop program contains one free state tax preparation program, but there is a charge for e-filing a state return.
So unless you made payment for a state e-file, you'll need to mail this (and any) state tax return. Federal e-filing is free of charge. You are allowed to e-file up to 5 federal tax returns.
*** I am NOT a tax expert. I am a seasoned TurboTax user, and volunteer to provide assistance to TT users. Nothing I post is to be considered TAX ADVICE; I bear no legal liability for responses.***
